Base | Representation |
---|---|
bin | 101101010010… |
… | …0011100100000 |
3 | 1122200020020020 |
4 | 1122210130200 |
5 | 22034222430 |
6 | 2204513440 |
7 | 405543234 |
oct | 132443440 |
9 | 48606206 |
10 | 23742240 |
11 | 12446995 |
12 | 7b4b880 |
13 | 4bc3882 |
14 | 32205c4 |
15 | 213eb10 |
hex | 16a4720 |
23742240 has 48 divisors (see below), whose sum is σ = 74789568. Its totient is φ = 6331136.
The previous prime is 23742227. The next prime is 23742247. The reversal of 23742240 is 4224732.
It is a tau number, because it is divible by the number of its divisors (48).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 23742240.
It is not an unprimeable number, because it can be changed into a prime (23742247) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24252 + ... + 25211.
It is an arithmetic number, because the mean of its divisors is an integer number (1558116).
Almost surely, 223742240 is an apocalyptic number.
23742240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
23742240 is an abundant number, since it is smaller than the sum of its proper divisors (51047328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23742240 is a wasteful number, since it uses less digits than its factorization.
23742240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 49481 (or 49473 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 24.
The square root of 23742240 is about 4872.6009481590. The cubic root of 23742240 is about 287.4135442624.
Adding to 23742240 its reverse (4224732), we get a palindrome (27966972).
The spelling of 23742240 in words is "twenty-three million, seven hundred forty-two thousand, two hundred forty".
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